On Three-rowed Chomp

Andries E. Brouwer, Gábor Horváth, Ildikó Molnár-Sáska, Szabó, Csaba · TU/e Research Portal · 2005

Chomp is a 50 year-old game played on a partially ordered set P. It has been in the center of interest of several mathematicians since then. Even when P is simply a 3 × n lattice, we have almost no information about the winning strategy. In this paper we present a new approach and a cubic algorithm for computing the winning positions for this case. We also prove that from the initial positions there are infinitely many winning moves in the third row.

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